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math.AP2020★ 2 cited
Logarithmic decay for damped hypoelliptic wave and Schr{ö}dinger equations
Camille Laurent, Matthieu Léautaud
We consider damped wave (resp. Schr{ö}dinger and plate) equations driven by a hypoelliptic "sum of squares" operator L on a compact manifold and a damping function b(x). We assume…
math.AP2020
On uniform observability of gradient flows in the vanishing viscosity limit
Camille Laurent, Matthieu Léautaud
We consider a transport equation by a gradient vector field with a small viscous perturbation --. We study uniform observability (resp. controllability) properties in the (si…